S1 Homework 1 – Number Patterns
Number Sequences
Please attempt the questions below at the appropriate level:
2nd Level Questions
3rd Level Questions
1. Write down the next 2 numbers in each of these sequences and state the rule:
(a) 1, 8, 15, 22,...
(c) 2, 6, 18, 54, ...
(e) 240, 120, 60, ...
(b) 20, 17, 14, 11, ...
(d) 2, 8, 32, 128, ...
(f) 100,000, 10,000, 1000, ...
2. Write down the first 10 square numbers
Remember!!
3. Write down the first 10 triangular numbers
Remember!!
4. Copy and write down the next three numbers in each of these Fibonnaci sequences
(a) 1, 1, 2, 3, 5, 8, ...
(b) 2, 3, 5, 8, 13, ...
4th Level Questions
1. Find the next 3 numbers in these sequences and write down the rule:
(a) 70, 58, 46, 34, ...
(b) 3, 9, 27, 81, ...
(c) 1, 3, 9, ...
(d) 96, 48, 24, ...
(e) 1000, 100, 10, ...
(f) 1
, 2, 2 , 3, ...
2. Which of the following numbers are square numbers,
3. Show your working out for parts a – d of this question and then explain your answer
clearly in part e !
4. Use your answer to question 3e to help you do this question
Note!! You should be able to write down the answer to part b without having to add
the triangular numbers using what you found out in question 3 (tricky!!)
1 Week to ask your teacher for help so please do so